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Finding the Third Proportional to 415,921.50 and 621,110.25

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Solution

The third proportional to 415,921.50 and 621,110.25 is: 927,525.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,921.50 : 621,110.25 = 621,110.25 : x
  2. Step 2: Convert to fraction form
    415,921.50/621,110.25 = 621,110.25/x
  3. Step 3: Cross multiply
    415,921.50x = 621,110.25 × 621,110.25
  4. Step 4: Simplify right side
    415,921.50x = 385,777,942,655.06
  5. Step 5: Solve for x
    x = 385,777,942,655.06/415,921.50
  6. Step 6: Final answer
    x = 927,525.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.